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Dissipative dynamics of vortex lines in superfluid $^{4}$He

H. M. Cataldo·M. A. Despósito·E. S. Hernández·D. M. Jezek
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Abstract

We propose a Hamiltonian model that describes the interaction between a vortex line in superfluid $^{4}$He and the gas of elementary excitations. An equation of irreversible motion for the density operator of the vortex, regarded as a macroscopic quantum particle with a finite mass, is derived in the frame of Generalized Master Equations. This enables us to cast the effect of the coupling as a drag force with one reactive and one dissipative component, in agreement with the assumption of the phenomenological theories of vortex mutual friction in the two fluid model.

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H. M. Cataldo, M. A. Despósito, E. S. Hernández, D. M. Jezek. 1996-09-14. Dissipative dynamics of vortex lines in superfluid $^{4}$He. https://doi.org/10.1103/physrevb.55.3792

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